Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model
Mar, 2009
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Abstract: (arXiv)
We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1)-dimensional chiral Gross-Neveu model (the NJL_2 model), using the exact inhomogeneous (crystalline) condensate solutions to the gap equation. The continuous chiral symmetry of the model plays a crucial role, and the thermodynamics leads to a broken phase with a periodic spiral condensate, the 'chiral spiral', as a thermodynamically preferred limit of the more general 'twisted kink crystal' solution of the gap equation. This situation should be contrasted with the Gross-Neveu model, which has a discrete chiral symmetry, and for which the phase diagram has a crystalline phase with a periodic kink crystal. We use a combination of analytic, numerical and Ginzburg-Landau techniques to study various parts of the phase diagram.- Jona-Lasinio-Nambu model
- dimension: 2
- symmetry: chiral
- density: finite
- finite temperature
- kink
- crystal
- critical phenomena
- Gross-Neveu model
- thermodynamics
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